Abstract
We study the Fourier series of circle homeomorphisms and circle embeddings, with an emphasis on the Blaschke product approximation and the vanishing of Fourier coefficients. The analytic properties of the Fourier series are related to the geometry of the circle embeddings, and have implications for the curvature of minimal surfaces.
Original language | English (US) |
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Pages (from-to) | 323-340 |
Number of pages | 18 |
Journal | Computational Methods and Function Theory |
Volume | 19 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1 2019 |
Keywords
- Blaschke products
- Circle embeddings
- Circle homeomorphisms
- Fourier series
- Harmonic maps
ASJC Scopus subject areas
- Analysis
- Computational Theory and Mathematics
- Applied Mathematics